MATH 200

Homework Set G

Part I. To be completed by Friday, March 6th.

1. From the textbook by Parker & Baldridge:

• Read section 7.4 carefully.

• Homework Set 33 on page 184: # 2, 3, 4, 5, 7, 8, 9.

Part II. To be completed by Monday, March 16th.

1. Primary Mathematics Intensive Practice 6A:

• Topic 5 (pages 62-64): # 1-4.

• Topic 5, Word Problems (pages 65-71): # 2-8, 10, 12, 14, 15.

2. Additional problems:

(a) John and Paul set off from town X to town Y, at constant speeds of 90 km/h and 60 km/h

respectively, at the same time. How far apart were they after 2 1/2 hours?.

(b) A car left town X to town Y at a constant speed of 96 km/h and then continued from town Y

to town Z at a constant speed of 108 km/h. If he took 1 h 12 min to travel from town X to town

Y and 1 h 20 min to travel from town Y to town Z, find the total distance he covered..

(c) Town A and town B were 150 km apart. Richard drove from town A to town B at an average

speed of 60 km/h. How much earlier would he have arrived at town B if he had travelled at an

average speed of 80 km/h instead?.

(d) Andy travelled from town P to town Q at an average speed of 80 km/h. One hour later,

Mike also travelled from town P to town Q at an average speed of 100 km/h. If Mike reached

town Q 4 1/2 hours later, how far away was Andy from town Q then?.

(e) Towns M and N were 410 km apart. At 9:15 am, Jeffrey set off from town M for town N at

an average speed of 80 km/h. 45 minutes later, Marcus set off from town N for town M at an

average speed of 120 km/h. At what time did they pass each other?.

(f) At 1:05 pm, a van started driving along a straight expressway at a constant speed of 60 km/h.

At 1:35 pm, a car move off from the same place as the van at a constant speed. After traveling

for 210 km, the car caught up with the van. If the van and the car continued traveling at their

constant speeds, how far apart would they be at 5:50 pm?.

(g) At 3:40 pm, a truck left city A for city B at a constant speed of 51 mi/h. At 4:20 pm, a

minibus also left city A for city B and travelled at a constant speed of 68 mi/h.

• At what time did the minibus overtake the truck?

• At what time after that would the two vehicles be 51 mi apart?.

(h) Town X and town Y were 270 km apart. A car started from town X towards town Y at a

constant speed of 60 km/h while a motorcycle started from town Y to town X at a constant

speed of 90 km/h. Both the car and the motorcycle started their journeys at 5:15 am. At what

time did they pass each other?