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CAT 2002 — QA Question 4

2 Variable EquationsEasy

A transport company charges for its vehicles in the following manner:

If the driving is 5 hours or less, the company charges Rs. 60 per hour or Rs. 12 per km (which ever is larger)
If driving is more than 5 hours, the company charges Rs. 50 per hour or Rs. 7.5 per km (which ever is larger)

If Anand drove it for 30 km and paid a total of Rs. 300, then for how many hours does he drive?

Answer & solution

  • A

    4

  • B

    5.5

  • C

    7

  • 6

Solution

The rent of the car = Maximum (number of hours × charge per hour, km travelled × charge per km)

Case 1: Anand drove the Car for 5 hours or less
∴ Rent = Maxima(300, 30 × 12) = 360

Case 2: Anand drove the Car for more than 5 hours
∴ Rent = Maxima(300, 7.5 × 30) = 300

∵ Anand paid Rs. 300 as rent.

∴ Anand drove for 6 hours.

Hence, option (d).

CAT 2002 QA Q4: A transport company charges for its vehicles in the following manner: If the driving is 5 hours or less, the c — Solution | TheCATExam