A man intends to complete a journey of 24 km in 8 hours. If he travels at a speed of 4km/hr for the first four hours, at what speed does he need to travel for the remainder of the journey to be right on time?
He covers 4km/hr*4hrs =
<<4*4=16>>16km in the first 4 hours He has 24-16 = <<24-16=8>>8km left to cover He has 8-4 = <<8-4=4>>4 hours to cover the remaining 8km He has to travel at a speed of 8km/4hrs = 2km/hr to be right on time #### 2 Mark made a chalkboard that is 3 feet wide. It is 2 times as long as it is wide. What is the area of the chalkboard? The length of the chalkboard is 2 x the width of 3 feet = <<2*3=6>>6 feet. We can calculate area by multiplying the width and the length, so 3 feet x 6 feet = <<3*6=18>>18 feet. #### 18 A candy store uses food colouring in various candies. Each lollipop uses 5ml of food colouring, and each hard candy also needs food colouring. In one day, the candy store makes 100 lollipops and 5 hard candies. They do not use food colouring in anything else. The store has used 600ml of food colouring by the end of the day. How much food colouring, in millilitres, does each hard candy need? In total, the lollipops needed 5ml of food colouring * 100 lollipops = <<5*100=500>>500ml of food colouring. This means that the hard candies needed 600ml total food colouring – 500ml food colouring for lollipops = 100ml of food colouring. So each hard candy needed 100ml of food colouring / 5 hard candies = <<100/5=20>>20 ml of food colouring. #### 20 Ned is an explosives specialist racing to deactivate a time bomb on the top floor of a building. The building has twenty flights of stairs to the top floor, and Ned can run up one flight of stairs in eleven seconds. The time bomb has 72 seconds left on the timer, and Ned has spent 165 seconds running up the stairs. How many seconds will Ned have to diffuse the bomb when he reaches it? Ned has gone up 165 / 11 = <<165/11=15>>15 flights of stairs. Thus, he has 20 - 15 = <<20-15=5>>5 flights of stairs left to run up. He will spend 5 * 11 = <<5*11=55>>55 seconds running up the remaining stairs to the bomb. Therefore, he will have 72 - 55 = <<72-55=17>>17 seconds to defuse the bomb. #### 17 During the outbreak of the coronavirus, a company had to ramp up its toilet paper production three times more to cover the increased demand. If the company was producing 7000 toilet paper per day, calculate its total toilet paper production during March of 2020 after increasing its production. If the company was producing 7000 toilet paper per day, when it ramped up its toilet paper production three times per day, it produced 3*7000 = 21000 more per day. The total toilet production by the company increased to 7000+21000 = <<7000+21000=28000>>28000 In March, with 31 days, the company produced a total of 28000*31 = <<28000*31=868000>>868000 toilet papers #### 868000 Jack goes up three flights of stairs, then down six flights of stairs. If each flight of stairs has 12 steps that each each 8 inches high, how many feet further down is Jack than when he started? First find the number of inches in each flight of stairs: 12 steps * 8 inches/step = <<12*8=96>>96 inches Then find the net number of flights of stairs Jack went down: 6 flights - 3 flights = <<6-3=3>>3 flights Then multiply than number by the number of inches per flight to find how many inches further down he is: 96 inches/flight * 3 flights = <<96*3=288>>288 inches Then divide that number by 12 to find the number of feet down he is: 288 inches / 12 inches/foot = <<288/12=24>>24 feet #### 24 A dog barks 30 times per minute. If 2 dogs bark 30 times per minute, how many times will they have barked after 10 minutes? There are 2 dogs and they each bark 30 times per minute so together they bark 2*30 = <<2*30=60>>60 times per minute 2 dogs bark a combined total of 60 times per minutes, after 10 minutes they will have barked 60*10 = <<60*10=600>>600 times #### 600 Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have? Janine has 2 * 3 = <<2*3=6>>6 bottle caps. Sammy has 6 + 2 = <<6+2=8>>8 bottle caps. #### 8 Troy's home is 75 meters away from school while Emily's home is 98 meters away from school. Troy and Emily walk to school and back home every day. How much farther does Emily walk to school and back in five days? Troy walks to school and back home for a total of 75 x 2 = <<75*2=150>>150 meters every day. Emily walks to school and back home for a total of 98 x 2 = <<98*2=196>>196 meters every day. So Emily walks 196 - 150 = <<196-150=46>>46 meters farther than Troy every day. In five days, Emily walks 46 x 5 = <<46*5=230>>230 meters farther. #### 230 James has 28 marbles. He puts them into 4 bags. He puts the same number in each bag. He then gives one bag away. How many marbles does James have left? James has 28 marbles / 4 bags = <<28/4=7>>7 marbles per bag. James has 28 marbles - 7 marbles = <<28-7=21>>21 marbles remaining. #### 21