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Car A and car B are driving towards each other along straight line

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saswata4s
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Car A and car B are driving towards each other along straight line [#permalink] New post   02 May 2017, 20:09
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Car A and car B are driving towards each other along straight line. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr. If at noon they are separated by a distance of 300 miles, at what time will they meet?

(A) 2.40 pm
(B) 3.00 pm
(C) 3.20 pm
(D) 3.40 pm
(E) 4.00 pm
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Re: Car A and car B are driving towards each other along straight line [#permalink] New post   02 May 2017, 20:34
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Current Distance between A and B = 300 miles

As A and B are traveling towards each other, their speeds will be summed up = (40 + 60) miles/hr

Time = 300/100 = 3 hrs

Answer is (B) 3.00 pm
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Re: Car A and car B are driving towards each other along straight line [#permalink] New post   06 May 2017, 17:55
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saswata4s wrote:
Car A and car B are driving towards each other along straight line. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr. If at noon they are separated by a distance of 300 miles, at what time will they meet?

(A) 2.40 pm
(B) 3.00 pm
(C) 3.20 pm
(D) 3.40 pm
(E) 4.00 pm


We can use the following formula:

distance of car A + distance of car B = total distance = 300

We can let the time of car A and car B = t. Thus:

60t + 40t = 300

100t = 300

t = 3

Since they started at noon, they will meet three hours later, at 3 p.m.

Answer: B
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Car A and car B are driving towards each other along straight line [#permalink] New post   31 Mar 2020, 12:08
saswata4s wrote:
Car A and car B are driving towards each other along straight line. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr. If at noon they are separated by a distance of 300 miles, at what time will they meet?

(A) 2.40 pm
(B) 3.00 pm
(C) 3.20 pm
(D) 3.40 pm
(E) 4.00 pm


Given:
1. Car A and car B are driving towards each other along straight line.
2. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr.

Asked: If at noon they are separated by a distance of 300 miles, at what time will they meet?

Distance to be travelled = 300 miles
Relative speed = 60 + 40 = 100 miles/hr
Let the time taken to meet be T hours

300 = 100 * T
T = 3 hrs

Time when they meet = 3:00 pm

IMO B
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Car A and car B are driving towards each other along straight line [#permalink] New post   22 Dec 2020, 11:21
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saswata4s wrote:
Car A and car B are driving towards each other along straight line. Car A travels at a constant speed of 60 miles/hr and car B travels at a constant speed of 40 miles/hr. If at noon they are separated by a distance of 300 miles, at what time will they meet?

(A) 2.40 pm
(B) 3.00 pm
(C) 3.20 pm
(D) 3.40 pm
(E) 4.00 pm


To meet each other the cars will cover 300 miles together at their respective rate.

Let, time time is \(x\)

So, \(60x+40x=300\)

\(100x=300\)

\(x=3\)

The meeting time = \(12+3=15 \ or 3 \ pm\)

The answer is \(B\)
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Car A and car B are driving towards each other along straight line [#permalink]
22 Dec 2020, 11:21
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