# Choose the correct answer from the alternatives given.

15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days. How many days will 10 men and 10 boys take to complete the remaining work?

(a). 10

(b). 8

(c).12

(d). 9

Last updated date: 20th Mar 2023

•

Total views: 303.6k

•

Views today: 3.83k

Answer

Verified

303.6k+ views

Hint:– Break down each phrase of the question to understand it better. Then find out the rate at which the work is completed with respect to boys, men. Also, find out the amount of work that can be done in one day by men and boys. Change it into one parameter to get the answer.

Given Data – 15 men can do the work in 10 days

∴One day work is completed by 15 × 10 men = 150 men.

Also, 20 boys can complete the work in 15 days

∴In one day the work is completed by 20 × 15 = 300 boys.

∴Work of 150 men = Work of 300 boys

⟹Work of one man = = Work of 2 boys

⟹Work of 10 men = 2 × 10 = Work of 20 boys

We should find out work done by 10 men and 10 boys = 10(2) + 10 = 30 boys

Also given, 20 boys do the work in 15 days

⟹30 boys can do it in =10 days.

Hence, Option A is the correct answer.

Note:–The key to solving this type of question is to understand exactly what was given and make relations accordingly. Then we find out the rate at which the work can be done with respect to each parameter. Then build a relation for the two parameters and convert everything into a single parameter to determine the answer.

__Complete step-by-step solution -__Given Data – 15 men can do the work in 10 days

∴One day work is completed by 15 × 10 men = 150 men.

Also, 20 boys can complete the work in 15 days

∴In one day the work is completed by 20 × 15 = 300 boys.

∴Work of 150 men = Work of 300 boys

⟹Work of one man = = Work of 2 boys

⟹Work of 10 men = 2 × 10 = Work of 20 boys

We should find out work done by 10 men and 10 boys = 10(2) + 10 = 30 boys

Also given, 20 boys do the work in 15 days

⟹30 boys can do it in =10 days.

Hence, Option A is the correct answer.

Note:–The key to solving this type of question is to understand exactly what was given and make relations accordingly. Then we find out the rate at which the work can be done with respect to each parameter. Then build a relation for the two parameters and convert everything into a single parameter to determine the answer.

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE