search
Log In
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
0 votes
80 views

Two bicyclists travel in opposite directions. One travels $5$ miles per hour faster than the other. In $2$ hours they are $50$ miles apart. What is the rate of the faster bicyclist?

  1. $11.25$ mph
  2. $15$ mph
  3. $20$ mph
  4. $22.5$ mph
in Quantitative Aptitude 9.2k points 31 508 811
recategorized by
80 views

1 Answer

0 votes

Ans is option (B)

Let the speed of the slower bicyclist be  $x$  miles per hour. Then the speed of faster bicyclist would be  $x+5$  miles per hour.

Using the concept of relative motion here, let’s keep the slower bicyclist at rest. Then the faster bicyclist would be traveling towards the slower bicyclist with a speed of  $x+5-(-x)=2x+5$  miles per hour.

Now, the faster bicyclist travels  $50$ miles in  $2$ hours.

$\therefore$  $2=\frac{50}{2x+5}$       ($\because$  time  $=$  distance/ speed)

$\Rightarrow$   $x=10$  miles per hour.

So, the speed of the faster bicyclist is,  $10+5=15$ miles per hour.

238 points 2 2 4

Related questions

0 votes
0 answers
1
78 views
A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does the entire trip take him? $4$ hours $5$ hours $6$ hours $7$ hours
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 78 views
0 votes
1 answer
2
135 views
A man rowed $3$ miles upstream in $90$ minutes. If the river flowed with a current of $2$ miles per hour, how long did the man’s return trip take? $20$ minutes $30$ minutes $45$ minutes $60$ minutes
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 135 views
0 votes
1 answer
3
107 views
A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path? $51 \pi$ square feet $60 \pi$ square feet $69 \pi$ square feet $90 \pi$ square feet
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 107 views
0 votes
0 answers
4
84 views
What is the area of a semicircle with a diameter of $16$ inches? $32 \pi$ square inches $64 \pi$ square inches $128 \pi$ square inches $256 \pi$ square inches
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 84 views
0 votes
0 answers
5
49 views
Which of the following figures has the largest perimeter $(1 \text{ foot} = 12 \text{ inches})$ a square with a diagonal of $5$ feet a rectangle with sides of $3$ feet and $4$ feet an equilateral triangle with a side equal to $48$ inches a regular hexagon whose longest diagonal is $6$ feet
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 49 views
...