33. I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance,
my bicycle went out of order. Consequently, I rested for 35 minutes and came back to
my house walking all the way. I reached my house at 1 p.m. If my cycling speed is
10 kmph and my walking speed is 1 kmph, then on my bicycle I covered a distance
of:
(a) 4 0 1 km (6) 13 km (c) 14 km (2) 15 km
O
67
A drives during the first hour at an average snoad
Answers
Answer:
In my opinion the options are wrong. It should be--
- 4.92 km
- 13.44 km
- 14.375 km
- 15.476 km
And the answer is came out approximately 5km.
so we can say option one is correct i.e 4.92 km
Q-A started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance his bicycle went out of order. Consequently, A rested for 35 minutes and came back to his house walking all the way A reached my house at 1 p.m. If his cycling speed is 10 kmph and his walking speed is 1 kmph, then on his bicycle A covered a distance of :
(a)
(b)
(c)
(d)
A- Option(a) is the correct answer.
Given,
He started his journey at 7 a.m.
His journey was completed at 1 p.m.
Cycling speed = 10kmph
Walking speed = 1kmph
Rest time = 35 minutes
To Find,
The distance covered on the bicycle =?
Solution,
Let the time taken riding a bicycle be t
Total distance traveled on bicycle = Speed * Time = 10 * t
Total time taken in journey = 6 hours
Time taken for resting = 35 minutes = (35 / 60) hours
Total time taken = Time taken for resting, walking and riding bicycle
6 = (35/60) + Time taken for walking + t
Time taken for walking = [6 - (35/60) - t]
Time taken for walking = [(360 - 35)/60) - t]
Time taken for walking = [(325 / 60) - t] hours
Distance traveled by walking = Speed * Time = 1 * [(325 / 60) - t]
Distance traveled by walking = [(325 / 60) - t] km
Now, distance covered on bicycle = distance covered by walking
10t = [(325 / 60) - t]
10t + t = 325 / 60
11t = 325 / 60
t = 325 / 660
Total distance traveled on bicycle = 10*t = 10*(325/660)
Total distance traveled on bicycle = 325 / 66
Total distance traveled on bicycle = km
Hence, the distance covered on the bicycle is km.