A Boy Goes To His School From His House At A Speed Of 3 Km/hr And Returns At A Speed Of 2 Km/hr. If He Takes 5 Hours In Going And Coming, The Distance Between His House And School Is. - Testpoint

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A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is.

8.5 km
5.5 km
6 km
9 km

Explanation

We are given:
Speed while going to school = 3 km/hr
Speed while returning home = 2 km/hr
Total time for the round trip = 5 hours
Step 1: Let the Distance Be "d" km
Time taken to go = $d/3$ hours
Time taken to return = $d$ hours
Since total time is 5 hours,
$d/3 + d/2 = 5$ Step 2: Solve for d
Taking LCM of 3 and 2 = 6,
$+ 3 d/6 = 5$ $5 d/6 = 5$ $5 d = 30$ $d = 6 km$

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A train travels 60 km in 1 hour 30 min. What is its speed per hour?

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Explanation

Step 1: Convert time into hours

1 hour 30 minutes = $1.5$ hours

Step 2: Use the formula

$Speed = Distance/$ Time

Step 3: Calculate

$Speed = 60/$ 1.5=40 km/h

Last updated by NA on 23-April-2026

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