DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 128)

Problem 1 :

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms. in 5 hours, what is the speed of the first train?

A)  10 Km/hr

B)  50 Km/hr

C)  70 Km/hr

D)  80 Km/hr

Solution :

Problem 2 :

Solution :

Problem 3 :

The functions f and g are defined by f(x) = x² + 2 and g(x) = 4x – 3. If a > 0, for what values of a does g[f(a)] = 41?

Solution :

Problem 4 :

John is a member of a recreational bowling league. His bowling scores from 2006 to 2015 can be modeled by the equation p = 80.5 + 16.8t, where t represents the number of years since he joined the league in 2006 and p represents the average number of points he scored per game. Which of the following is the best interpretation of the number 16.8 in the equation?

A)  The total number of points John scored in 2006.

B)  The average number of points John scored per game in 2006.

C)  The yearly increase in the average number of points John scored per game.

D)  The average number of games John played each year. 

Solution :

Problem 5 :

Bob can finish painting a house in 4 days. Carl can finish painting a house in 6 days. Which of the following equations can be used to find the number of days d that Bob and Carl would need to finish painting one house working together?

Solution :

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