John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
Answer(s): B
Take 100 miles as the total mileage traveled, then calculate the total distance divided by the total time to receive the average speed for the whole trip: . And v=30 miles per hour.
The ratio between the number of sheep and the number of horses at the Stewart farm is 4 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Answer(s): C
The number of horses can be calculated using the total weight of daily horse food divided by the weight each horse is fed daily: . There are 56 horses at the farm. Since the ratio is 4 to7, between the sheep and horses, the number of sheep is: . There are 32 sheep.
The volume of water inside a swimming pool doubles every hour. If the pool is filled to its full capacity within 8 hours, in how many hours was it filled to one quarter of its capacity?
Answer(s): D
Solve this question backwards. If the pool was full on the 8th hour, it was half filled on the 7th and one quarter filled on the 6th.
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours?
Answer(s): E
2 carpenters build 2 desks in 2.5 hours ---> 4 carpenters build 4 desks in 2.5 hours > In 4 hours there are(4/2.5 = 1.6) time units. And (4 x 1.6) is 6.4 desks.
6. There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?
There are (9/20 x 40 = 18) boys in the class. 80% of them are right-handed, meaning that (4/5 x 18 = 14.4). Answer C is the best answer.
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