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Difficulty:
95%
(hard)
Question Stats:
52% (03:16) correct
48%
(03:09)
wrong
based on 98
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In an industry, the raw materials and the finished goods are transported on the conveyor belt. There are two conveyor belt, one for carrying parts from P to point Q and another for carrying parts from R to point Q. P, Q and R in that order are in a straight line. Sometimes, the belt serves to transport cart, which can themselves move with respect to the belts. The two belts move at a speed of 0.5 m/s and the cart move at a uniform speed of 2 m/s with respect to the belts. A cart goes from point P to R and back to P taking a total of 64 s. Find the distance PR in meters. Assume that the time taken by the cart to turn back at R is negligible?
A. 48
B. 54
C. 60
D. 64
E. 72
Are You Up For the Challenge: 700 Level Questions
A. 48
B. 54
C. 60
D. 64
E. 72
Are You Up For the Challenge: 700 Level Questions
Assuming that the two conveyor belts are the same length the answer would be:
Total time: 64s.
Two belts, with effective speeds of \(2-0,5 = 1,5 & 2+0,5=2,5. \)
Let one way distance on a belt be D.
\(Total time = \frac{D}{2,5}+ \frac{D}{1,5}+\frac{D}{2,5}+\frac{D}{1,5}\)
Thus: \(64 = \frac{8D}{3,75}\)
Gives \(D = 30\)
As D is only half the distance; Total distance between P&R \(= 2*D = 2*30 = 60\)
Answer = C
Total time: 64s.
Two belts, with effective speeds of \(2-0,5 = 1,5 & 2+0,5=2,5. \)
Let one way distance on a belt be D.
\(Total time = \frac{D}{2,5}+ \frac{D}{1,5}+\frac{D}{2,5}+\frac{D}{1,5}\)
Thus: \(64 = \frac{8D}{3,75}\)
Gives \(D = 30\)
As D is only half the distance; Total distance between P&R \(= 2*D = 2*30 = 60\)
Answer = C
07 Jan 2022, 05:22
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pleasefix Bunuel
This sentence confuses me a lot. What does this sentence actually mean?
It doesn't say that the uniform speed when belts are still is 2m/s. If this was the case then \(Totaltime=\frac{D}{2.5}+\frac{D}{1.5}+\frac{D}{2.5}+\frac{D}{2.5}\) holds true
But it simply says with respect to belts the uniform speed of cart is 2 m/s. Hence it can mean that cart speed wrt to moving belts is 2 m/s.
Am i complicating it too much?
Quote:
This sentence confuses me a lot. What does this sentence actually mean?
It doesn't say that the uniform speed when belts are still is 2m/s. If this was the case then \(Totaltime=\frac{D}{2.5}+\frac{D}{1.5}+\frac{D}{2.5}+\frac{D}{2.5}\) holds true
But it simply says with respect to belts the uniform speed of cart is 2 m/s. Hence it can mean that cart speed wrt to moving belts is 2 m/s.
Am i complicating it too much?
