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

Option (C)

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)

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q1: A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike.

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q2: In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q3: A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%.

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q4: A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed.

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Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.

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>Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.

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