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  1. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate 4 kmph and partly on bicycle at the rate 9 kmph. The distance travelled on foot is
    1. 16 km
    2. 14 km
    3. 17 km
    4. 15 km
Correct Option: A

Distance travelled by farmer on foot = x km (let)
∴  Distance covered by cycling = (61–x ) km.

Time =
Distance
Speed

According to the question,
x
+
61 − x
= 9
49

⇒ 
9x + 61 × 4 − 4x
= 9
9 × 4

⇒  5x + 244 = 9 × 9 × 4 = 324
⇒  5x = 324 – 244 = 80
⇒  x =
80
= 16 km.
5


Second Method :
Here, t = 9, x= 61
u = 4, v = 9
Time taken =
vt − x
v − u

=
9 × 9 − 61
9 − 4

=
20
= 4 hrs.
5

Distance travelled
= 4 × 4 = 16 km


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