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 11 of 12.

Tarannum said:   1 decade ago
Thanks siddharth

Raju said:   1 decade ago
42/1.68 is 25kmph but there is 5/7 of speed so 5/7x=25 ok solve it
x=25*7/5=35kmph

Kavitha said:   1 decade ago
Thanks sid.

Hussain said:   1 decade ago
Thanks to Sidd and Abhishe.

ABHISHEK said:   1 decade ago
1hr 40min 48sec = 1hr +(40)min +(48/60)min
= 1hr +(40)min +(4/5)min [as,(4/5)=(8/10)=0.8]
= 1hr +(40.8)min
= 1hr +(40.8/60)hr [as,(40.8/60)=(68/100)]
= 1hr +(0.68)hr
= 1.68hr

According to question,

(5/7)x * 1.68 = 42 (where, x- actual speed)
Solving this we get, x = 35km/hr(actual speed)

Sali said:   1 decade ago
How 1hr 40min 48sec=1 51/75

Prachi said:   1 decade ago
Thanks sid...

Mitali said:   1 decade ago
Thanks Siddharth.

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

Shwetha said:   1 decade ago
1 hr 40min 48sec means 1hr 40min 48/60*60=1hr 40min 1/75 means converting sec in to min then min in to hrs.


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