A scooterist sees a bus 1 km ahead of him moving with a velocity of 10 m s -1. With what speed the scooterist should move so as to overtake the bus in 100 s ?

Question

A scooterist sees a bus 1 km ahead of him moving with a velocity of 10 m s -1. With what speed the scooterist should move so as to overtake the bus in 100 s ? (A) 10 m s -1 (B) 20 m s -1 (C) 50 m s -1 (D) 30 m s -1

Tardigrade Admin · Accepted Answer

Let u be the velocity of scooterist in order to catch the bus in 100 s. Then u × 100=10 × 100+1000 =2000 or u=20 ms -1

Q. A scooterist sees a bus 1 km ahead of him moving with a velocity of $10 m s^{- 1}$ . With what speed the scooterist should move so as to overtake the bus in $100 s$ ?

$10 m s^{- 1}$

$20 m s^{- 1}$

$50 m s^{- 1}$

$30 m s^{- 1}$

Let $u$ be the velocity of scooterist in order to catch the bus in $100 s$ . Then
$u \times 100 = 10 \times 100 + 1000$
$= 2000$ or $u = 20 m s^{- 1}$

Q. A scooterist sees a bus 1 km ahead of him moving with a velocity of 10ms−1. With what speed the scooterist should move so as to overtake the bus in 100s ?

10ms−1

20ms−1

50ms−1

30ms−1