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Online Quiz (Worksheet A B C D)

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Grade 8 - Mathematics
9.16 Problems on Time and Distance - VI

Example:
George walks from his house to office at a speed of 3 miles/hour. and arrives at the office 25 min late, but when he walked at 4 miles/hour, he reached the office 15 min before time. Find the distance between his house and office.

solution:
Let the distance between house and office be x miles.
Time taken when speed is 3 miles/hour = x/3 hours.
Time taken when speed is 4 miles/hour = x/4 hours.
Difference = x/3 - x / 4 = (4x-3x)/12 = x/12 hours.
= x / 12 * 60 = 5x min.
Difference given in the problem = 25 + 15.
= 40 min.
Therefore, 5x = 40
x = 40/5
x = 8 miles.


Directions: Solve the following problems. Also write at least 5 examples of your own.
Q 1: George walks from his house to school at a speed of 2 miles/hour and arrives at the school 20 min late, but when he waled at 3 miles/hour he reached the school 30 min before. Find the distance between his house to office.
6 miles
5 miles
None of these
7 miles

Q 2: Matt walks from his house to office at a speed of 2 miles/hour, and he arrives at the office 20 min late, but when he walked at 3 miles/hour, he reached the office 20 min before find the distance between his house to office.
4 miles
3 miles
6 miles
2 miles

Q 3: Adam walks from his house to office at a speed of 3 miles/hour, and he arrives at the office 15 min late, but when he walked at 4 miles/hour he reached the office 10 min before time, find the distance between his house and office.
3 miles
5 miles
6 miles
4 miles

Q 4: Peter walks from his house to office at a speed of 4 miles/hour and arrives at the office 19 min late, but when he walked at 5 miles/hour he reached the office 20 min before. Find the distance between his house to office.
11 miles
10 miles
13 miles
12 miles

Q 5: George walks from his house to office at a speed of 2 miles/hour and arrives at the office 16 min late, but when he walked at 5 miles/hour, he reached the office 20 min before. Find the distance between his house to office.
8 miles
6 miles
5 miles
2 miles

Q 6: Mack walks from his house to school at 3 miles/hour and arrives 12 min late, but when he walked at 4 miles/hour and reaches school 18 min before. Find the distance from his house to school.
7 miles
6 miles
4 miles
5 miles

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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