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Vijay can cover a distance D with speed S in time T. He can cover the same distance with speed S + 10 in time T - 2. He can cover the same distance D with speed S - 15 in time T + 6. What can be found from the given data? (i) Time to cover 200 km with speed S + 10 (ii) Distance covered in T + 6 time with speed S + 10 (iii) Speed by which a tunnel can be crossed in T/2 hour (iv) Ratio between the time to cover distance D with speed S and the time to cover distance D - 5 with speed S + 10

1. only (ii)
2. only (ii) and (iii)
3. only (i) and (iii)
4. all of the above
5. only (i), (ii) and (iv)

Correct answer: all of the above

Solution

The three conditions give three equations in S, T, and D. Solving them allows us to determine the actual values of the variables, so all derived quantities in statements (i) to (iv) can be found. Hence, all of the above are obtainable.

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