Miscellaneous Question 33

  1. Ram and Ali were travelling on their motorbikes from point $P$ to Q. Ram, travelling at a speed of $60 $ $km / hr$ leaves from point $P$ at $6 $ am. Ali travelling at a speed of $90 $ $km / hr$ leaves point $P$ at 10 am on the same day as Ram. At what distance from point $P$, will Ram and Ali meet?

(1) $400 $ $km$

(2) $720 $ $km$

(3) $420$ $ km$

(4) $640$ $ km$

(5) $480 $ $km$

(IBPS SO (Agriculture) Exam, 29.01.2017)

Show Answer

Correct Answer: 33. (2)

Solution: 33. (2) Distance covered by Ram in 4 hours $=$ Speed $\times$ time

$=60 \times 4=240 $ $\mathrm{km}$

Relative speed $=(90-60) $ $\mathrm{kmph}$ $=30 $ $\mathrm{kmph}$

Time taken in meeting

$=\left(\frac{240}{30}\right)$ hours

$=8$ hours after $10 $ $\mathrm{am}$

$\therefore$ Required distance

$=90 \times 8=720 $ $\mathrm{km}$