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 6 of 12.

Sandeep Ippakayala said:   8 years ago
5/7u=42/1+2/3+1/75,
5/7u=42/126/75,
5/7u=42*75/126,
5/7u=3150/126,
5*126u=3150 * 7,
630u=22050,
u = 35KM.

Time in Hours:
1*75/75+2*25/3*25+1/75.
75+50+1/75.
126/75.

1hr=60min.
1/60hr=1min.
1min=60sec.
1/60min=1sec.

Suraj said:   9 years ago
Sir, how to change any fraction in time?
Like
7/5 = _ hour, _min?

Avi goyal said:   9 years ago
Time = 1 hr 40 min 48 sec.
= 1hr + 40/60hr + 48/3600 hr = 1 + 2/3 + 1/75 = 126/75 hr.
Distance = 42 km.
Speed = distance/time = 42/(126/75) = 42 * 75/126.
5/7 of the actual speed = 42 * 75/126.
Actual speed = 42 * 75/126 * 7/5.
= 42 * 15/18.
= 7 * 15/3.
= 7 * 5 = 35 km/hr.

Ganesh said:   9 years ago
Actual distance covered by car is 42 km in 1 hr 40 min 48 sec = 100.8 minutes. Now just divide total km by total minutes took = 42/100.8 = 0.416667 km per minute.

Then per hr speed = 0.416667 km per minute * 60 minutes = 25 kmph as the car was running @ 5/7 of it's actual speed.
Then 5 = 25 and 7 = ?
The answer is 25/5 = 5.
5 * 7 = 35 kmph.

Sameen said:   9 years ago
@Abhishek.

Why you have written 4/5 as 8/10?

ROhit said:   9 years ago
@ Divya.

1hr = 60min
1min = 60 sec
Then 60min = 60 * 60 sec.
Thus 1 hr = 60 * 60 sec = 3600 sec.

Hope it helps.

Divya said:   9 years ago
Can anyone please say answer that how to convert the hour to min and hour to sec?

Please anyone tell me the answer.

Chetan said:   9 years ago
Speed * time = distance.

Let assume Actual speed be = x,
Distance = 42,
Time = 1 + (40÷60) + (48÷ 3600) = 1.68,
Hence 5x/7* 1.68 = 42,
5x/7 = 42/1.68,
5x/7 = 25,
5x = 25 * 7,
5x = 175,
X = 175/5,
And X = 35.

Yogi said:   9 years ago
Because Actual speed is X and actual speed 5/7 so X. 5/7.

Akshaya said:   9 years ago
Why we multiply by 5/7?


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