Ranjeet drives his car at an average speed of 50 km/hr and reaches his destination in 8 hours. Rehman covers the same distance in 5 hours. If Ranjeet increases his speed by 10 km/hr and Rehman increases his speed by 20 km/hr, then what will be the difference between the times taken by them to reach the destination?Options 223 hr. 312 hr. 212 hr. 325 hr..
Question
Ranjeet drives his car at an average speed of 50 km/hr and reaches his destination in 8 hours. Rehman covers the same distance in 5 hours. If Ranjeet increases his speed by 10 km/hr and Rehman increases his speed by 20 km/hr, then what will be the difference between the times taken by them to reach the destination?Options 223 hr. 312 hr. 212 hr. 325 hr..
Solution
First, let's find out the distance covered by both Ranjeet and Rehman.
Since distance = speed * time,
Ranjeet's distance = 50 km/hr * 8 hr = 400 km.
Since they both cover the same distance, Rehman also covers 400 km.
Next, let's find out the new speeds of Ranjeet and Rehman.
Ranjeet's new speed = 50 km/hr + 10 km/hr = 60 km/hr.
Rehman's new speed = 400 km / 5 hr + 20 km/hr = 100 km/hr.
Now, let's find out the new times taken by Ranjeet and Rehman to cover the same distance.
Ranjeet's new time = 400 km / 60 km/hr = 6.67 hr.
Rehman's new time = 400 km / 100 km/hr = 4 hr.
Finally, let's find out the difference between the times taken by them.
Difference = Ranjeet's new time - Rehman's new time = 6.67 hr - 4 hr = 2.67 hr.
So, the difference between the times taken by them to reach the destination is approximately 2.67 hours.
The closest option to this is 2.5 hours, but this is not one of the options given. There may be a mistake in the options or in the question as none of the options match the calculated answer.
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