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### Grade 8 - Mathematics9.16 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.None of these5 miles6 miles7 miles Q 2: 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.12 miles11 miles13 miles10 miles Q 3: 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.6 miles4 miles3 miles2 miles Q 4: 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.5 miles2 miles6 miles8 miles Q 5: 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.5 miles7 miles6 miles4 miles Q 6: Jack walks from his house to school at a speed of 2 miles/hour, and he arrives at the school 25 min late but when he walked at 3 miles/hour he reached the school 25 min before. Find the distance between his house to school.8 miles7 miles5 miles6 miles Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!