A horse rider covers half the distance with 5 ~m / s speed. The remaining part of the distance was travelled with speed 10 ~m / s for half the time and with speed 15 ~m / s for other half of the time. The mean speed of the rider averaged over the whole time of motion is x/7 ~m / s. The value of x is _ _ _ _ _ _.

Kinematics: JEE Main 2023 Physics question

JEE Main 2023 · 30 Jan, Morning shift · Q71

JEE Main 202330 Jan, Morning shiftPhysicsHardKinematics177× since 2002

A horse rider covers half the distance with

5 \mathrm{~m} / \mathrm{s}

speed. The remaining part of the distance was travelled with speed

10 \mathrm{~m} / \mathrm{s}

for half the time and with speed

15 \mathrm{~m} / \mathrm{s}

for other half of the time. The mean speed of the rider averaged over the whole time of motion is

\frac{x}{7} \mathrm{~m} / \mathrm{s}

. The value of

x

is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Kinematics Question with Answer (30 Jan Morning shift, Q71) | JEE Arc