How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are 60 and 45 mph and the freight train had an hour and a half head start?

A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first hour is half the cyclist's average speed for the second hour, and the cyclist's average speed for the first two hours is equal to twice the cyclist's average speed for the last two hours. If the cyclist traveled at an average speed of 9 miles per hour for the 4-hour trip, what was the cyclist's average speed, in miles per hour, during the first hour of the trip? 16 0000

Two bicyclists, 42 miles apart, begin riding towards each other along a long straight avenue. One cyclists travels 15 miles per hour and the other 27 miles per hour. At the same time Spot (a greyhound), starting at one cyclist, runs back and forth the two cyclists as the cycle toward each other. If Spot runs 38 miles per hour and turns instantly at each cyclist, how many miles has he run when the cyclists meet? a. 42 miles b. 15 miles c. 38 miles d. 27 miles

A railway line connects Parnac station with Rougelle station. The distance between these two stations is 150 km. -a train departs from Parnac at 17:10 and stops at Bernouille station at 17:40. Bernern is 60 km from Parnac - He leaves Bernouille twenty minutes later and crosses the Sévillon train station at 18:30. The Sévillon train station is 45 km from Rougelle. He continued his journey at the same speed until Rougelle station. -Another train leaves Rougelle at 17:35 and arrives at Sévillon at 18h. After 10 minutes of waiting he leaves to reach Bernouille at 18:40 and stops 10 minutes. He finally joined Parnac at 19:20. "At what time and how far from Rougelle do the trains intersect?"

Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.

A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s)       Annual Revenue ($ millions)11.5                   118 10.0                   135 9.0                     100 5.5                     37 3.3                     32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA   df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677     Total 4 8925.2           Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…