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1.

A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Answer» total bottles`= 25*12`
`= 300` bottles
let no of boxes needed`= x`
bottles in x boxes`= 20x`
`20x = 300`
`x= 15`boxes
answer
Discussion
2.

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

Answer» distance Rashmi covered =` x` cm
Acc to question
`1/18 = x/72`
`x = 72/18 `
`= 4`cm
answer
Discussion
3.

There are 100 students in a hostel. Food provision for them is for 20 days. How long will these provisions last, if 25 more students join the group?

Answer» total students in hostel =`100`
no of days for food for 100 students`= 20`
no of days for food for 1 student = `2000`
no of days for 125 students`= 2000/125 = 16`days
answer
Discussion
4.

A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?

Answer» let no of ays taken =`x` days
`3*4 = 4*x`
`x = (3*4)/4`
`= 3`days
answer
Discussion
5.

6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?

Answer» let time required be `= x`
given 6 pipes require`= 60 + 20`mins
`= 80mins`
1 pipe requires `= 80/6`
5 pipe requires = `80/6*5`
` = 66.66 mins `
answer
Discussion
6.

A train is moving at a uniform speed of 75 km/hour.(i)             How far will it travel in 20 minutes?(ii)            Find the time required to cover a distance of 250 km.

Answer» `75km/hr = (75km)/ (60 min)`
`1 hr = 60 min`
(i) it will travel =`x` km
`x/20 = 75/60`
`x = (75*20)/60 = 25km`
(ii) time taken = `t `min
`250/t = 75/60`
`t = (250*60)/75`
`= 200` mins
`= 3 hrs20 min`
answer
Discussion
7.

A can do a piece of work in 40 days and B in 45 days.They work together for 10 days and then B goes away. In how many days will A finish the remaining work?

Answer» LCM of 45 and 40 is 360. so let the work be of eating 360 chocolates.
A finishes work in 40 days and B in 45 so A eats 9 chocolates per day and B eats 8 chocolates per day.
together they work for 10 days and eat 17 chocolates each day.
total chocolates eaten in 10 days=170.
number of chocolates left=360-170=190
A will eat 190 chocolates in=>`190/9=21.1 days.`
Discussion
8.

A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?

Answer» total time of school `= 45*8`
`= 360` min
if school has 9 periods, then
time period`= 360/9`
`= 40`mins
answer
Discussion
9.

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Answer» Actual length of Bacteria= `x` cm
`50000x = 5`
`x = 5/50000 = 10^-4`cm
enlarged length = `10^-4 * 20000`
`= 2`cm
answer
Discussion