#### Category: Math

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## If 18 men can reap a wheat field in 25 days how many days will 15 men take to reap the same field

Solution : According to the question, 18 men can reap a wheat field in = 25 days, 15 men take to reap the same field = ? days Step by Step Solution : Let, they take x days ∴ 18 × 25 = 15x or, x = 18 × 25/15 = x = 30 days Therefore, 15 men will take 30 days to reap the same field.

Solution :According to the question,

18 men can reap a wheat field in = 25 days,15 men take to reap the same field = ? days

See lessStep by Step Solution :

Let, they take x days∴ 18 × 25 = 15x

or, x = 18 × 25/15

= x = 30 days

Therefore, 15 men will take 30 days to reap the same field.## Find the missing entries in each of the following questions if x varies inversely with y Which among the following has 64 as one of the missing value

Step by Step Solution : (a) x 48 36 2 6 y 3 4 72 24 (b) x 26 4 65 13 y 20 130 8 40 (c) x 3 12 64 8 y 128 32 6 48 (d) x 18 24 54 9 y 36 27 12 72

Step by Step Solution :(a)xy(b)xy(c)xy(d)xy## In which of the following cases the variation is inverse

Correct option - (b) Time taken to travel a certain distance and speed - in this case variation is inverse.

Correct option – (b)

Time taken to travel a certain distance and speed – in this case variation is inverse.

See less## A pole of length 12 m casts a shadow of length 15.6 m (a) Find the length of the shadow cast by another pole of length 18 m

Step by Step Solution : (a) The length of the shadow cast by another pole of length 18 m. Let the length be x m ∴ 12/15.6 = 18/x or, 12x = 15.6 × 18 or, x = 15.6 × 18/12 ∴ x = 23.4 m (b) The height of a pole which casts a shadow of length 11.7 m. Let, the height be x m ∴ 12/15.6 = x/11.7 or, 15.6 =Read more

Step by Step Solution :

(a) The length of the shadow cast by another pole of length 18 m.Let the length be x m

∴12/15.6 = 18/xor, 12x = 15.6 × 18

or, x = 15.6 × 18/12

∴ x = 23.4 m(b) The height of a pole which casts a shadow of length 11.7 m.Let, the height be x m

∴12/15.6 = x/11.7or, 15.6 = 12 × 11.7

or, 12 × 117/15.6

∴ x = 9 m

See lessVideo Explanation :## In a map drawn to a scale of 1 : 40000000 (a) If the distance between two cities is 11 cm find the actual distance between the two cities

Step by Step Solution : (a) The actual distance between the two cities. ∴ Actual distance, = (11 × 4,00,00,000) cm = (11 × 4,00) km = 4400 km (b) The distance in cm between these two cities on this map, ∴ Distance on map, = 250/4,00,00,000 km = 250,000,00/4,00,00,000 = 25/40 cm = 250/40 mm = 6.25 mRead more

Step by Step Solution :

(a) The actual distance between the two cities.∴Actual distance,= (11 × 4,00,00,000) cm

= (11 × 4,00) km

= 4400 km

(b) The distance in cm between these two cities on this map,∴Distance on map,= 250/4,00,00,000 km

= 250,000,00/4,00,00,000

= 25/40 cm

= 250/40 mm

= 6.25 mm

See lessVideo Explanation :## If 25 men can dig a canal of length 62.5 m how many men will be required to dig a similar canal of length 155 m

Solution : According to the given question, 25 men can dig a canal of length = 62.5 m Men will be required to dig a similar canal of length 155 m = ? Step by Step Solution : Let, x number of men are required ∴ 25/62.5 = x/155 or, 62.5x = 25 × 155 × 10/62 or, x = 31 × 2 = x = 62 Therefore, 62 menRead more

Solution :

According to the given question,

25 men can dig a canal of length = 62.5 mMen will be required to dig a similar canal of length 155 m = ?

Step by Step Solution :

Let, x number of men are required∴25/62.5 = x/155or, 62.5x = 25 × 155 × 10/62

or, x = 31 × 2

= x = 62

Therefore, 62 men will be required to dig a similar canal.

See lessVideo Explanation :## The total cost of 18 packets of washing powder each weighing 1.5 kg is Rs 1242 Find the cost of 14 packets containing the same washing powder each weighing 2 kg

Step by Step Solution : Total amount of washing powder of 18 packets each weighing 1.5 kg, = (18 × 1.5) = 27 kg Total amount of powder of 14 packets each weighing 2 kg, = (14 × 2) = 28 kg Let, the cost be x rupees ∴ 27/1242 = 28/x or, 27x = 28 × 1242 or, x = 28 × 1242/27 ∴ x = 28 × 46 = x = 1288 ruRead more

Step by Step Solution :

Total amount of washing powder of 18 packets each weighing 1.5 kg,= (18 × 1.5)

= 27 kg

Total amount of powder of 14 packets each weighing 2 kg,

= (14 × 2)= 28 kg

Let, the cost be x rupees27/1242 = 28/x∴

or, 27x = 28 × 1242

or, x = 28 × 1242/27

∴x = 28 × 46= x = 1288 rupees

Therefore, the cost of 14 packets washing powder will be 1288 Rs.

See lessVideo Explanation :## A worker is paid Rs 680 for 8 days of work If he works for 26 days in a month what would be his salary for that month

Solution : According to the question, A worker is paid for 8 days of work = ₹680 He works for 26 days in a month So, what would be his salary for that month = ? Step by Step Solution : Let, his salary be x rupees ∴ 8/680 = 6/x or, 8x = 680 × 26 or, x = 680 × 26/8 = x = 2210 rupees Therefore, his saRead more

Solution :

According to the question,A worker is paid for 8 days of work = ₹680

He works for 26 days in a month

So, what would be his salary for that month = ?

Step by Step Solution :

Let, his salary be x rupees∴8/680 = 6/xor, 8x = 680 × 26

or, x = 680 × 26/8

= x = 2210 rupees

Therefore,his salary for that month will be Rs. 2210

See lessVideo Explanation :## Karan can walk a distance of 2.1 m in 30 minutes Find the time taken by him to cover a distance of 5.6 km

Solution : In the given question, Karan can walk a distance of 2.1 m in = 30 minutes He will cover a distance of 5.6 km = ? Step by Step Solution : Let, he takes x minutes ∴ 21/30 = 5.6/x or, 2.1x = 30 × 5.6/2.1 = x = 80 minutes Therefore, Karan will cover 5.6 km in 80 minutes. Video explanation : hRead more

Solution :

In the given question,Karan can walk a distance of 2.1 m in = 30 minutes

He will cover a distance of 5.6 km = ?

Step by Step Solution :

Let, he takes x minutes∴21/30 = 5.6/xor, 2.1x = 30 × 5.6/2.1

= x = 80 minutes

Therefore, Karan will cover 5.6 km in 80 minutes.

See lessVideo explanation :

## Rita types 2070 words in 1h How long will she take to type 3450 words How many words will she type in 3 hours

Solution : As per the question, Rita types in 1 h = 2070 words She will type 3450 words =? Words she will she type in 3 hours = ? Step by Step Solution : = 1 1/2 hour = 90 minutes ∴ 2070/90 = 3450/x or, 2070 = 90 × 3450 or, x = 90 × 3450/2070 = 150 minutes ∴ 150 minutes 2 1/2 hours Now, Let, she wriRead more

Solution :

As per the question,

Rita types in 1 h = 2070 wordsShe will type 3450 words =?

Words she will she type in 3 hours = ?

Step by Step Solution := 1 1/2 hour = 90 minutes

∴2070/90 = 3450/xor, 2070 = 90 × 3450

or, x = 90 × 3450/2070 = 150 minutes

∴150 minutes 2 1/2 hoursNow,Let, she write x words in 3 hours (180 minutes)

∴2070/90 = x/180or, 90x = 2070 × 180

or, x = 070 ×180/90

= x = 5140 words

Therefore, In 3 hours she shall type 5140 words.

See lessVideo Explanation :