The distance between Banda and Lucknow is 216 mathrm~km. A car started from Banda towards Lucknow at 36 mathrmkmph. 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).

Question

The distance between Banda and Lucknow is 216 mathrm~km. A car started from Banda towards Lucknow at 36 mathrmkmph. 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

Tardigrade Admin · Accepted Answer

Time taken by the first car to reach Lucknow

= \frac{216}{36} = 6 h

The second car started

3 h

later and reached

1 h

earlier than the first car.

∴

It takes

4 h

less than the first car to reach Lucknow.

∴

Speed of the second car

= \frac{216}{6 - 4} = 108 kmph

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

108

100

172

82

Time taken by the first car to reach Lucknow =36216​=6 h The second car started 3 h later and reached 1 h earlier than the first car. ∴ It takes 4 h less than the first car to reach Lucknow. ∴ Speed of the second car =6−4216​=108kmph

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

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