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20 Apr 2020, 07:08
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A bus travels from A to B at a constant speed, at which it should reach B in x minutes. After 30 km, due to an engine malfunction, the speed of the bus decreases to 4/5th of the original speed. Because of that, the bus reaches B in x + 45 minutes, instead of intended x minutes. Had the same malfunction happened after the bus travelled 48 km, it would have reached B, in x + 36 minutes, instead of intended x minutes. What is the distance between A and B?
A. 20 km
B. 40 km
C. 60 km
D. 90 km
E. 120 km
Are You Up For the Challenge: 700 Level Questions
A. 20 km
B. 40 km
C. 60 km
D. 90 km
E. 120 km
Are You Up For the Challenge: 700 Level Questions
20 Apr 2020, 08:08
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Distance between A and B= D
Original speed = v
Because bus travelled (48-30=) 18Km at the 4/5th of the original speed, it reached destination (x+45-x-36=) 9mins late
\(\frac{18}{(0.8v)} - \frac{18}{v} = \frac{9}{60}\)
\(\frac{18}{4v} = \frac{9}{60}\)
v= 30Km/h
Also, Because bus travelled D-30 Kms at the 4/5th of the original speed, it reached destination (x+45-x) 45 mins late.
\(\frac{D-30}{24} -\frac{D-30}{30} = \frac{45}{60}\)
\(\frac{D-30}{120} = \frac{3}{4}\)
D=120Kms
Original speed = v
Because bus travelled (48-30=) 18Km at the 4/5th of the original speed, it reached destination (x+45-x-36=) 9mins late
\(\frac{18}{(0.8v)} - \frac{18}{v} = \frac{9}{60}\)
\(\frac{18}{4v} = \frac{9}{60}\)
v= 30Km/h
Also, Because bus travelled D-30 Kms at the 4/5th of the original speed, it reached destination (x+45-x) 45 mins late.
\(\frac{D-30}{24} -\frac{D-30}{30} = \frac{45}{60}\)
\(\frac{D-30}{120} = \frac{3}{4}\)
D=120Kms
Bunuel
21 Apr 2020, 05:56
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Distance between A and B= D km
At 80% speed,
(D-30) km causes additional 45 mins
(D-48) km causes additional 36 mins
(D-30)/(D-48) = 45/36
If D=.....
A. 20 km --> (D-30)<0 (NO!)
B. 40 km --> (D-48)<0 (NO!)
C. 60 km --> 30/12 = 45/18 (NO!)
D. 90 km --> 60/42 = 45/31. 5 (NO!)
E. 120 km --> 90/72 = 45/36 (Yes!)
FINAL ANSWER IS (E)
Posted from my mobile device
At 80% speed,
(D-30) km causes additional 45 mins
(D-48) km causes additional 36 mins
(D-30)/(D-48) = 45/36
If D=.....
A. 20 km --> (D-30)<0 (NO!)
B. 40 km --> (D-48)<0 (NO!)
C. 60 km --> 30/12 = 45/18 (NO!)
D. 90 km --> 60/42 = 45/31. 5 (NO!)
E. 120 km --> 90/72 = 45/36 (Yes!)
FINAL ANSWER IS (E)
Posted from my mobile device
