NCHMCT JEE 2021 Question Paper with solutions for online practice

Question : 73 of 200

Marks: +1, -0

A student goes to school at the rate of

2 \;{1}/{2} {km} \/ {h}

and reaches

6 {min}

late. If he travels at the speed of

3 {km} \/ {h}

, he is

10 {min}

early. The distance (in

{km}

) between the school and his house is

Solution:

(b) Let the required distance be

x {km}

.
Difference between time

=\;{16}/{60}

Then,

\;\; \;{x}/{5}-\;{x}/{3}=\;{16}/{60}

⇒ \;\; \;{2 x}/{5}-\;{x}/{3}=\;{4}/{15}

⇒ \;\; \;{6 x-5 x}/{15}=\;{4}/{15}

∴ \;\; x=4 {km}

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