Question

The distance between Banda and Lucknow is $216 \mathrm{~km}$. A car started from Banda towards Lucknow at $36 \mathrm{kmph}$. Another car started $3 \mathrm{~h}$ later from Banda and reached Lucknow $1 \mathrm{~h}$ earlier than the first car. Find the speed of the second car (in kmph).

• A. 108
• B. 100
• C. 172
• D. 82

Answer 1

Answer: (A)

Time taken by the first car to reach Lucknow
$=\frac{216}{36}=6 \mathrm{~h}$
The second car started $3 \mathrm{~h}$ later and reached $1 \mathrm{~h}$ earlier than the first car.
$\therefore$ It takes $4 \mathrm{~h}$ less than the first car to reach Lucknow.
$\therefore$ Speed of the second car $=\frac{216}{6-4}=108 \mathrm{kmph}$