Question number 1 in the Speed, Time and Distance chapter from the book QA4CAT

1. Speed, Time and Distance

2. Speed, Time and Distance
The speed of a cyclist uphill is 10 kmph, downhill is 15 kmph and on level plane is 12
kmph. Consider the following diagram. It takes 6 hours for the cyclist to go from A to
C and 5 hours to go back to A. For how long did the cyclist travel on plane BC?
(a) 3 hr (b) 6 hr
(c) 4 hr (d) 2 hr

3. Speed, Time and Distance
It takes 6 hours for the cyclist to go from A to C. Therefore,
AB
10
+
BC
12
= 6
AB
15
+
BC
12
= 5
The speed of a cyclist uphill is 10 kmph, downhill is 15 kmph and on level plane is 12
kmph. Consider the following diagram. It takes 6 hours for the cyclist to go from A to
C and 5 hours to go back to A. For how long did the cyclist travel on plane BC?

4. Speed, Time and Distance
Solving for AB and BC, we get AB = 30 km and BC = 36 km.
Thus the cyclist travelled a total of 36 × 2 = 72 km on plane BC. Thus he would have
travelled for 6 hr.
Answer Choice (B)
The speed of a cyclist uphill is 10 kmph, downhill is 15 kmph and on level plane is 12
kmph. Consider the following diagram. It takes 6 hours for the cyclist to go from A to
C and 5 hours to go back to A. For how long did the cyclist travel on plane BC?

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