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question:Sophia ran 3 miles, Alexander jogged 800 yards, and Benjamin walked 1568 feet. What is the total distance covered by the friends in feet?
answer:To add up the distances covered by the friends, we need to use the same unit for each person. Let's use feet as the unit.Since 1 mile = 5280 feet, Sophia covered a distance of 3 * 5280 = 15840 feet.Since 1 yard = 3 feet, Alexander covered a distance of 800 * 3 = 2400 feet.Benjamin covered a distance of 1568 feet.So, adding up the distances, we get 15840 + 2400 + 1568 = 18240 + 1568 = 19808 feet.Thus, the total distance covered by the friends is boxed{19808} feet.
question:Aliyah has 10 more phones than her sister Vivienne. If Vivienne has 40 phones, and the two sisters sell their phones at 400 each, calculate the total amount of money they have together?
answer:Since Aliyah has 10 more phones than Vivienne, and Vivienne has 40 phones, Aliyah has 40 + 10 = 50 phones.So, together they have 50 + 40 = 90 phones.If they sell each phone at 400, then they have a total amount of 90 * 400 = 36000 dollars.Thus, the total amount of money they have together is boxed{36000} dollars.
question:Alex is deciding between his old bicycle and a new high-performance bike for a ride. The new bike will allow Alex to ride 1.5 times as fast, but its new seat is uncomfortable, so he'll get 1 cramp after every 3 hours he spends riding on it. Each cramp slows Alex down by 3 miles per hour. If Alex rides 12 miles per hour on the old bike and plans to ride for 5 hours, how many miles per hour can he go on the new bike?
answer:Since Alex can ride 1.5 times as fast with the new bike, initially he can ride at a speed of 1.5 * 12 = 18 miles per hour.However, he will get cramps after every 3 hours.So in a 5 hour ride, he will get 5 / 3 = 1 cramps after 3 hours (with 2 hours remaining), and another cramp will not happen as that would be at 6 hours which is past his 5 hour ride.When he gets the cramp, his speed will slow down by 3 miles per hour.So for the first 3 hours he will ride at 18 miles per hour, and for the next 2 hours, he will ride at 18 - 3 = 15 miles per hour.To compute the average speed we compute the total distance and total time and divide.The total distance he will ride in the first 3 hours is 18 * 3 = 54 miles, and in the next 2 hours is 15 * 2 = 30 miles.Thus the total distance is 54 + 30 = 84 miles.Since the total time is 5 hours, his average speed will be 84 / 5 = 16.8 miles per hour.So the speed he can go with the new bike is boxed{16.8} miles per hour.
question:Emily can swim 50 meters in 25 seconds, but she covers only 2 meters in the first second. For the rest of the swim, she maintains a constant speed. Michael is 0.5 m/s faster at his top speed and can swim the first 5 meters in 1.5 seconds. How long does it take Michael to swim 50 meters?
answer:Let's break down the problem step by step.Emily can swim 50 meters in 25 seconds, but she covers only 2 meters in the first second. This means that she swims the remaining 48 meters in 24 seconds. To find her constant speed, we can divide the distance by the time:48 meters / 24 seconds = 2 meters/secondSince Michael is 0.5 m/s faster at his top speed, his speed is:2 meters/second + 0.5 meters/second = 2.5 meters/secondMichael can swim the first 5 meters in 1.5 seconds. To find the time it takes him to swim the remaining 45 meters, we can divide the distance by his speed:45 meters / 2.5 meters/second = 18 secondsAdding the time it takes him to swim the first 5 meters, we get:18 seconds + 1.5 seconds = 19.5 secondsTherefore, it takes Michael 19.5 seconds to swim 50 meters.boxed{19.5}
question:Eight friends attend a birthday party and order two large cakes. Each cake is cut into twelve pieces. If each friend gets the same number of pieces, how many pieces will each friend get?
answer:There are a total of 2 cakes * 12 pieces per cake = 24 pieces of cake.There are 8 friends in total.To distribute the pieces of cake equally among the friends, we need to divide the total number of pieces by the number of friends: 24 pieces / 8 friends = 3 pieces per friend.So each friend will get boxed{3} pieces of cake.
question:Emily and Ryan are new to ice skating. Emily stumbles and falls twice as often as Ryan. If together they fall 48 times during their skating session, how many times does Ryan fall?
answer:Let's say Ryan falls x times.Since Emily falls twice as often as Ryan, Emily falls 2x times.The total number of falls is 48, which is the sum of Ryan's falls and Emily's falls.So we can write the equation: x + 2x = 48.Combining like terms, we get 3x = 48.Dividing both sides by 3, we get x = 16.Therefore, Ryan falls boxed{16} times.