Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 9)
9.
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
35.55 km/hr
36 km/hr
71.11 km/hr
71 km/hr
Answer: Option
Explanation:

Total time taken = 160 + 160 hrs. = 9 hrs.
64 80 2

Average speed = 320 x 2 km/hr = 71.11 km/hr.
9

Discussion:
63 comments Page 5 of 7.

Sajnan said:   1 decade ago
This is simple:

First calculate 160/64 = 2.5.
Then 160/60 = 2.

=>2.5+2 = 4.5.

Then calculate 320/4.5 = 71.11.

Javid Mir said:   1 decade ago
Simple;

Average speed = 2xV1xV2/V1+V2.
Avg. Speed = 2x64x80/64+80.
Avg. Speed = 2x64x80/144.
Solving we get; avg speed = 71.1 Km/hr.

Jeevan said:   1 decade ago
We have to use like this also,

Total distance = 320.
1st half = 160.
2nd half = 160.
1st half speed = 64km/hr.
2nd half speed = 80km/hr.

Avg speed of 320km(dist) = 2*(64*80)/64+80 = 71.11 km/hr.

Siva said:   1 decade ago
Speed=distance/time.

A) first time: 160/64 = 2.5.

B) second time: 160/80 = 2.

a+b = 2. 5+2 = 4.5.

Average speed=320/4.5 = 71.11.

Samiksha said:   1 decade ago
Simply you can aplly the formula ie,

2ab/a+b

then, you will get your answer.

Anshu said:   1 decade ago
Time = distance speed^-1
time = 160 / 64 = 10 / 4 = 2.5 hour
time taken for the second half = 160 / 80 = 2 hour
total time taken = 4.5 hour
total distance = 160 + 160 = 320
speed = distance time^-1
speed = 320 / 4.5 = 3200/ 45 = 355.5555.../5 = 71.1111........

Samy said:   1 decade ago
Thank you suguraman.

Shro said:   1 decade ago
Guys,Why ru making it so comlicated...its simple speed=distance by time formula.
then distance is 320 and time is 9/2.
So speed=(320)/(9/2)
which is as per simple calculation
it can also be written as:
320*(2/9)

Fatima said:   1 decade ago
Thank you so much Sundar.

Sugumaran said:   1 decade ago
Hai praveen and S. M.

Your method is not suitable for all cases. Please avoid this method for solving this type of questions.


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