Miscellaneous Question 81

  1. Car A leaves the city at $5 $ $pm$ and is driven at a speed of $30 $ $km /$ hr. 3 hours later, another car B leaves the city in the same direction as car $A$. In how much time will car $B$ be $12$ $ kms$ ahead of car A if the speed of car B is 50 $km / hr$ ?

(1) 5 hours

(2) 4 hours 12 minutes

(3) 8 hours

(4) 5 hours 6 minutes

(5) 12 hours

IBPS Bank PO/MT CWE (Prelim Exam) 12.10.2019

Show Answer

Correct Answer: 81. (4)

Solution: 81. (4) Relative speed

$=(50-30) $ $\mathrm{kmph}$

$=20$ $ \mathrm{kmph}$

Distance covered by car A in 3 hours $=30 \times 3=90 $ $\mathrm{km}$

Hence, car B is to cover $(90+$ 12) $\mathrm{km}=102$ $ \mathrm{km}$.

$\therefore$ Required time

$=\frac{102}{20}=\frac{51}{10}$ hours

$=5 \frac{1}{10}$ hours

$=5$ hours 6 minutes