There are two cars. One is 100 miles north of the other.
There are two cars. One is 100 miles north of the other. Simultaneously, the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 15 miles per hour. How many miles apart are the cars after 3 hours?
Answer/Solution
125
Steps/Work
Here, drawing a quick sketch of the 'actions' described will end in a diagonal line that you canbuilda right triangle around:
The right triangle will have a base of 75 and a height of 100. The hidden pattern here is a 3/4/5 right triangle (the 75 lines up with the '3' and the 100 lines up with the '4'). In this way, you can deduce that each side is '25 times' bigger than it's corresponding side:
3/4/5 becomes
75/100/125
Thus the distance between the two cars is the length of the hypotenuse of this larger right triangle...
Final Answer: A
The right triangle will have a base of 75 and a height of 100. The hidden pattern here is a 3/4/5 right triangle (the 75 lines up with the '3' and the 100 lines up with the '4'). In this way, you can deduce that each side is '25 times' bigger than it's corresponding side:
3/4/5 becomes
75/100/125
Thus the distance between the two cars is the length of the hypotenuse of this larger right triangle...
Final Answer: A