7th Grade Challenging Math

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7-41)  Two cities A and B are 650 miles apart. Train #1 travels from City A to City B at 60 miles per hour. Train #2 travels from City B to City A at 70 miles per hour. Train #1 starts at 8:00 am from City A and Train #2 starts at 8:00 am from City B. What time will the two trains meet?

7-42) Two cities X and Y are 650 miles apart, Train #1 travels from City X to City Y at speed of 60 mile/hour. Train #2 travels from City Y to City X at speed of 70 mile/hour. Train #1 starts at 8:00 am from City X and Train #2 starts at 10:00 am from City Y. What time will the two trains meet?

7-43) A cylindrical water tank with a diameter of 10 cm and a height of 50 cm has a water level of 10 cm. If a smaller solid metal cylinder with a diameter of 4 cm and a height of 30 cm is placed into the tank, what is the water level?

7-44) A cubic shaped water tank of 20 inches tall is half full of water. If a solid metal cylinder with a diameter of 10 inches and a height of 20 inches is placed in the tank. What is the water level?

7-45) Farmer John has a nice piece of grass land for his sheep to graze on. The land can feed 10 sheep for 20 days.  It can feed 15 sheep for 10 days.  How many days can 25 sheep feed on this piece of land? (Hint: Grass grows at the same rate everyday.)

More challenging math problems for seventh grade:
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