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 10 of 12.

Shiva said:   1 decade ago
Conversion of km/hr to m/sec :

x km/hr = (x * (5/18)) m/sec

Conversion of m/sec to km/hr :

x m/sec = (x * (18/5)) km/hr

Anshu said:   1 decade ago
Let the actual speed be x
Total time = 1 hr 40 4/5 min .
= 1 51/75 hr.
= 126 / 75 hr
[convert it into min then into hrs by dividing it by 60
e.g 15 sec = 15/60 min = 1/4 min]
speed * time = distance
5/7x * 126/75 = 42
x = 42 x 75 x 7 / 5 x 126
x = 35
therefore
x = 35 kmph

Shro said:   1 decade ago
@Abhishek
I din't understand 4th line..
= 1hr +(40.8/60)hr [as,(40.8/60)=(68/100)]
please explain it...
how 40.8/60= 68/100?

Laxmi bhavani.B said:   1 decade ago
For converting
Min to hours:divide by 60
Sec to min:divide by 60
Aain Min to hours:divide by 60
so,
1 hr 40min 48sec= 1 + 40/60 + 48/(60*60) hrs
=1+ 2/3 + 4/300
=(300+200+4)/300
=504/300
=126/75
actual speed=X km/hr
Then
(5/7)X*(126/75)=42
X=(42*7*75)/(5*126)
=35Km/hr

Manish tiwari said:   1 decade ago
1 hr 40min 48 sec = 1 + 40/60 + 48/(60*60) hrs
=1+ 2/3 + 4/300
=(300+200+4)/300
=504/300
=126/75

Please sidharth can explain the answer please as 35 km/ph and =(300+200+4)/300 this step.

Thanks.

Dilip said:   1 decade ago
Wy to multiply 5/7 with 25?

Swetha said:   1 decade ago
Thanks nikita.

Nikita said:   1 decade ago
Let first consider 48sec

So, 48/60=4/5 min

then

40+4/5=204/5;

Convert this into hour

i.e (204/5)/60=51/75

Total
1+(51/75)=126/75

Zabi said:   1 decade ago
How is 40 4/5 is converted to 51/75?

Bharath kumar said:   1 decade ago
Thanks sid.


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