Question

1) A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?

2) A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in 6 seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?

3) A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each.

4) A bear loves visiting his friend, the piglet. The distance between their houses is 300m, and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking 1/4 of the distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take?

Answer 1

Puppy takes 10 sec.

Kitty takes 15 sec.

The mama bear can do it in 9 seconds

The cub can do it in 18 seconds

Superhero: 500 km/h

Sidekick: 600 km/h

Answer 2

1) The puppy takes 10 minutes, the kitty takes 15 minutes.

2) The mama bear takes 9 minutes, the cub takes 18 minutes

3) The sidekick goes at 600 mph, the hero goes at 500 mph.

4) 10 Minutes

5) RSM is so hard, amiright?

Explanation:

1) You can simplify the word problem into the equation 1/x + 1/x+5 = 1/6. For problems like these, you have to simplify the last part to a fraction, not a whole number. Then you just solve.

2) Same thing. 1/x + 1/x+9 = 1/6. Solve. Boom. Done.

3) A bit different, but it simplifies to 1800/x-100 - 1800/x = .6. Solve. C'mon, you should've been able to do this one.

4) Harder, simplifies to 75/x+225/x+15+2.5 = 300/x. You get the last part because the time the bear took is equal to the time it would normally take, which is the entire distance over the normal pace. Then you solve and there we go, most of your RSM homework is done.