Arun is travelling on his cycle and has calculated to reach point a at 2 pm if he travels at 10 kmph. He will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach a at 1 pm?
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Answer:
Let the distance be
x
km
Travelling at
10
kmph, Arun will reach point A at
2
pm.
Travelling at
15
kmph, Arun will reach point A
12
noon.
Therefore, time taken when travelling at
10
km - time taken when travelling at
15
km
=
2
hours
⇒
x
10
−
x
15
=
2
⇒
3
x
−
2
x
=
2
×
30
⇒
x
=
60
Time needed if travelled at
10
kmph
=
60
10
=
6
hours
Therefore, to reach at
1
pm, his travelling time must be
(
6
−
1
)
=
5
hours.
Hence, required speed
=
60
5
=
12
kmph
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