Quantitative Aptitude – Arithmetic – TSD – Arun drove from home to his hostel
Quantitative Aptitude – Arithmetic – Time Speed Distance
Question
Arun drove from home to his hostel at 60 miles per hour. While returning home he drove halfway along the same route 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 traveled by him is
A) 55 miles
B) 60 miles
C) 65 miles
D) 70 miles
Answer
Option (C)
Solution
From CAT 2017 – Quantitative Aptitude – Arithmetic – Time Speed and Distance, we can see that,
Let distance from home to hostel be d.
Time taken to go from home to hostel = d/60
Time taken to drive at 25 miles from hostel to home = d/25
Time to drive through bypass = (d/2 + 5)/50
Total time taken from hostel to home = d/25 + (d/2 + 5)/50
According to the question,
d/25 + (d/2 + 5)/50 = d/60 + 30/60 (Convert time from minutes to hours)
On solving, we get d = 30
Total distance travelled = 2d + 5 = 65miles
Option (C)
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