Miscellaneous Question 85

  1. A man while riding his bike sees a bus 60 metres ahead of him. The speed of the bike is $38$ $ km /$ $h$ and after 30 seconds the bus is 90 metres behind him. What is the speed of the bus?

(1) $15 $ $km / h$

(2) $20$ $ km / h$

(3) $25$ $ km / h$

(4) $18$ $ km / h$

(5) $13$ $ km / h$

(IBPS RRBs Officer Scale-I CWE Main Exam, 13.10.2019)

Show Answer

Correct Answer: 85. (2)

Solution: 85. (2) Relative speed of bike

$=\frac{(60+90)}{30}=5$ metre $/$ second

$=\left(5 \times \frac{18}{5}\right)$ $ \mathrm{kmph}=18 $ $\mathrm{kmph}$

Relative speed $=$ speed of bike speed of bus

$\Rightarrow 18=38$ - speed of bus

$\Rightarrow$ Speed of bus $=38-18$

$=20$ $ \mathrm{km} / \mathrm{h}$