Question

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same ruote at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance travelled by him is

• A. 55 miles
• B. 60 miles
• C. 65 miles
• D. 70 miles

Answer 1

The correct option is C

65 miles

Let distance (one way) is 2D, and then we get the equation as:
$(\frac{D}{25}+\frac{(D+5)}{50})-\frac{2D}{60}=0.5$
Solving above equation, we get D = 15 mile.
Total distance travelled = 2D + 2D + 5 = 65 mile.