CAT 2004 — QA Question 6
Basics of TSD/ProportinalityEasy
If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?
Answer & solution
- A
11 km/hr
12 km/hr
- C
13 km/hr
- D
14 km/hr
Solution
Let x hrs be the time required at 15kmph to reach the place at 11:00 am
∴ Distance that the man has to cycle = 15x km
Now, = x + 2
âââââââ∴ 15x = 10x + 20
∴ 5x = 20
∴ x = 4 hrs
∴ Distance to be travelled = 60 km
∴ To reach the place at noon, the man should cycle for x + 1 = 5 hrs.
Let the new speed be y.
∴ 5 =
∴ y = 12 km/hr
Hence, option (b).