Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 10)
10.
A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
17 6 km/hr
7
25 km/hr
30 km/hr
35 km/hr
Answer: Option
Explanation:

Time taken = 1 hr 40 min 48 sec = 1 hr 40 4 min = 1 51 hrs = 126 hrs.
5 75 75

Let the actual speed be x km/hr.

Then, 5 x x 126 = 42
7 75

x = 42 x 7 x 75 = 35 km/hr.
5 x 126

Discussion:
117 comments Page 7 of 12.

Gangadhar said:   9 years ago
1 hr 40 min 48 sec lets assume 48 sec as one minute then total 1 hr 41 min that means 101 min now convert 101 min to hr = 101/60 = 1.683. This is just for those who find it difficult to convert.

1st convert 48 sec to min. 48/60 = 0.8 again convert 0.8 min to hr 0.8/60 = 0.0133 i.e 48sec = 0.0133 hr.
Now convert 40 min to hr 40/60 = 0.6666,
40 min = 0.666 hr,
Now 1 hr 40 min 48 sec = 1 + 0.666 + 0.01333 = 1.6793 = 1.68 hr,

Given:
Speed = 5/7 of its actuall speed = 0.71428 of its actual speed,
Distance D = 42 km,
Time T = 1.68 hr,

Formula S = D/T,
0.71428 * actuall speed = 42/1.68,
0.71428 * actuall speed = 25,
Actuall speed = 25/0.71428,
Actuall speed = 35 km/hr.

Sidzwozz said:   9 years ago
@Kasaiah.

Please see above discussions, there is already so many threads of same question. They have explain it very simple manner. Follow one you find easy and quick. :)

Kasaiah said:   9 years ago
Hello here speed equals to distance by time.

Then 5x/7 = 42/126/75
It form as, 5x/7 * 75/126 = 42

But solution is above mentioned is not matched with my answer. Anyone explain it please.

Thanks

Vineeth said:   9 years ago
Easiest Method:.

Speed = dis/time.
Let speed = x.

5/7(x) = 42/(126/75) = 35.

Krishna said:   9 years ago
Hello, They have given that speeds ratio 7 : 5 ie, 7x, 5x.

Hence second time speed gave ie,, 42/126/75 = 42 * 75/126 = 25.

5x = 25.
x = 5.
7x = 35.

Thank you, I hope you all understand.

Girishankar said:   9 years ago
Thank you so much for everyone, who are all posted the method of hour conversion. :).

Shreyas said:   9 years ago
Thanks @Siddharth.

Atchu said:   9 years ago
Lets the speed be (5/7) x.

Distance 42 km and Time (after converted into hr) = 1.68hr.

Speed = distance/time.

(5/7) x = 42/1.68.

(5/7) x = 25.

x = 25*7/5.
x =35km/hr.

Rakeshgatla jgtl said:   9 years ago
Hello, clear your doubts with my explanations 40 minutes 40/60 = 2/3 and take 48 seconds.

48 / 60 * 60 = 1/75.

1 hour 40 minutes 48 seconds = 1 + 2/3 + 1/75 = 126/75 = 42/25.

Clear your doubts with my explanations.

Azly said:   9 years ago
Here, the car has been travelled 42 km in 1.68 hours.

Find the distance travelled in 1 hour.

42/1.68*1 = 25 km/h.

25km/h is 5/7 of the actual speed.

Then, 25/5*7 = 35 km/h.


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