If a scooterist drives at the rate of 25 km per hour, he reaches his d

1.	If a scooterist drives at the rate of 25 km per hour, he reaches his destination 7 minutes late, and if he drives at the rate of 30 km per hour, he reaches his destination 5 minutes earlier. How far is his destination ? (a) 20 km (b) 25 km (c) 30 km (d) 32 km
Answer» (c) Let the required distance be x km. Difference in the times take at the two speeds = 12 min = \(\frac15\) hrs Given, \(\frac{x}{25}-\frac{x}{30} = \frac15\) ⇒ \(\frac{6x-5x}{150}\) = \(\frac15\) ⇒ x = 30 km.

If a scooterist drives at the rate of 25 km per hour, he reaches his destination 7 minutes late, and if he drives at the rate of 30 km per hour, he reaches his destination 5 minutes earlier. How far is his destination ? (a) 20 km (b) 25 km (c) 30 km (d) 32 km

Answer»

(c) Let the required distance be x km.

Difference in the times take at the two speeds = 12 min = \(\frac15\) hrs

Given,

\(\frac{x}{25}-\frac{x}{30} = \frac15\) ⇒ \(\frac{6x-5x}{150}\) = \(\frac15\) ⇒ x = 30 km.