Varun, Tarun, Arun and Barun travelled with a different speed among 20, 30, 40 and 50m/s, not necessarily. In the same order and each of them travelled for a different time among 5, 4, 3 and 2 hours in any order. What is the speed at which Arun travelled ?
I. Distances travelled by Arun and Varun are 120 m and 150 m respectively.
II. Distances travelled by Barun and Tarun are 100 m and 80 m respectively.

Options

A. If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.
B. If the question can be answered using either statements alone.
C. If the question cannot be answered even using A and B together.
D. If the question can be answered using A and B together but not using A or B alone.

Answer

C

Explanation

Using I alone,
Arun travelled `120 m (40 xx 3, 30 xx 4)`
Varun travelled `150 m (50 xx 3, 30 xx 5)`
`therefore` Speeds of Arun and Varun can be (40, 30) or (30, 50)
`therefore` I alone is not sufficient.
Using II alone
Barun travelled `100 m (20 xx 5, 50 xx 2)`
Tarun travelled `80 m (20 xx 4, 40 xx 2)`
II alone is not sufficient.
Combining both I and II, Arun.s speed can be either 40 m/s or 30 m/s
`therefore` The questions cannot be answered even after combining I and II.