a ) A first number plus twice a second number is 2. Twice the first number plus the second totals 10. Find the numbers.

The smaller of the two numbers is ?

b ) Jim began a 182-mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 32 miles per hour, find the amount of time he spent on the bicycle.

What amount of time did Jim spend on the bicycle?

c ) Two towns are

1100

miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of

200

hours. If one group travels

12

mile per hour slower than the other group, find the rate of each group.

The rate of the slower group is ?

d) Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is

82

inches. Also, its length is

7

inches longer than its width. Find the dimensions of this sign.

What is the length of the sign?