Question

Jamie was ready to leave for the station. He looked at the time on his watch, which showed 10 minutes past 5'o clock.
He rushed to the station to board the train to his hometown.
It took him 25 minutes to reach the station, and finally, he was able to board his train.
Find the angle made by the minute hand till he reached the station.

• A. ${150}^{\circ }$
• B. ${135}^{\circ }$
• C. ${180}^{\circ }$
• D. ${100}^{\circ }$

Answer 1

The correct option is A ${150}^{\circ }$

Time in Jamie's watch when he was ready to leave = 5:10
Time he took to reach the station = 25 minutes
Time in his watch when he reached the station = 5:35


Thus, the minute hand traveled from 2 to 7.

We know that the minute hand makes 360° in 60 minutes, i.e., it makes a complete circle in 60 minutes.

$\text{Angle made in 1 minute}=\frac{360}{60}=6^{\circ }$

Time he took to reach the station = 25 minutes

Angle made in 25 minutes = 25 × 6° = 150°

Thus, the angle made by the minute hand till Jamie reached the station was 150°.