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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20

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Bunuel
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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink] New post   08 Jul 2019, 02:40
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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 miles per hour, leaves from Town X towards Town Y at the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X. How many miles will Car B have traveled when the two cars pass by each other?

(A) 55
(B) 70
(C) 80
(D) 110
(E) 140
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E
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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink] New post   08 Jul 2019, 02:52
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The two cars will meet at

\(t=\frac{220}{(20+35)}=4 hours\)

In 4 hours, B travels 4*35=140 miles

Answer is (E)

Hit Kudos if this helped!

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Re: Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink] New post   08 Jul 2019, 03:59
Bunuel wrote:
Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 miles per hour, leaves from Town X towards Town Y at the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X. How many miles will Car B have traveled when the two cars pass by each other?

(A) 55
(B) 70
(C) 80
(D) 110
(E) 140


Relative speed when 2 objects travelling towards each = 20 + 35 = 55

—> Time to meet = Initial distance/Relative speed = 220/55 = 4 hours

Distance travelled by B = 35*4 = 140

IMO Option E

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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink] New post   08 Jul 2019, 10:03
Bunuel wrote:
Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 miles per hour, leaves from Town X towards Town Y at the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X. How many miles will Car B have traveled when the two cars pass by each other?

(A) 55
(B) 70
(C) 80
(D) 110
(E) 140


relative speed= 20+35 ; 55
time ; 220/55; 4 hours
so B would have travelled ; 35*4 ; 140 miles
IMO E
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Re: Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink] New post   11 Jul 2019, 19:58
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Bunuel wrote:
Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 miles per hour, leaves from Town X towards Town Y at the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X. How many miles will Car B have traveled when the two cars pass by each other?

(A) 55
(B) 70
(C) 80
(D) 110
(E) 140


Letting n = the number of hours that each vehicle is in operation, we can create the distance equation as:

20n + 35n = 220

55n = 220

n = 4

Car B has traveled 35 x 4 = 140 miles when it passes car A.

Answer: E
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Re: Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink] New post   11 Jul 2019, 22:45
Bunuel wrote:
Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 miles per hour, leaves from Town X towards Town Y at the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X. How many miles will Car B have traveled when the two cars pass by each other?

(A) 55
(B) 70
(C) 80
(D) 110
(E) 140


Given:
Towns X and Y are 220 miles apart
Car A is traveling at 20 miles per hour from Town X towards Town Y
At the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X

Question:
How many miles will Car B have traveled when the two cars pass by each other?

Car A and Car B will pass each other after = 220 /(20+35) = 4 hours

Car B will travel = 35*4 = 140 kms when they pass each other.

IMO E

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Re: Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink]
11 Jul 2019, 22:45
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