Question

A boy is 3 km from his home school. / Hour speed and goes back 2 km. Returns at the speed of / hour. If he takes a total of 5 hours to travel, then the distance between the school and he home. एक लड़का अपने घर से स्कूल 3 किमी . / घंटा की चाल से जाता है तथा वापिस 2 किमी . / घंय की चाल से लौटता है । यदि आने - जाने में वह कुल 5 घंटे का समय लेता है , तो स्कूल और उसने घर के बीच की दूरी है ।​

Answer 1

Answer:

Step-by-step explanation:

Let , the distance between the school and the home be X km

Time taken by the boy the reach the school=(distance ÷ speed)=X/3 h

Time taken by boy to come back to the home=(distance ÷time)=X/2 h

We know ,X/3h + X/2h=5h

(Lcm of 3 and 2 in 6)

Hence,(3X +2X)/6=5

5X/6=5

5X=6×5=30

5X=30

X= 30/5 =6

Hence ,the distance between the home and the school is 6 Km

Answer 2

Answer:

☯️$6 \: km$

Step-by-step explanation:

⭐Question:-

A boy is 3 km from his home school. / Hour speed and goes back 2 km. Returns at the speed of / hour. If he takes a total of 5 hours to travel, then the distance between the school and he home.

⭐Answer:-

solution:-

$let \: the \: required \: distance \: be \: x \: km.$

$then$

$\frac{x}{3} \: + \: \frac{x}{2} = \: 5$

$\frac{2x + 3x}{6} \: = \: 5$

$5x \: = \: 6 \times 5$

$= x \: = \: \frac{6 \times 5}{5}$

$= \: 6km$

$hence \\ option \: d \: is \: the \: right \: answer.$

$= \: 6km$