Practice Paper for Time and Work of AILET Maths Section
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Practice Paper for Time and Work of AILET Maths SectionIf the total amount of work completed in a day is 1/7, how long will it take for the work to be complete?If one man can finish a work in 10 days, how much work will be done in total by two men in one day?Kashish and Karan can finish a work in 50 days and Kashish alone can do it in 70 days. How long will it take for Karan to finish the entire work all by himself?If Akash finishes constructing a wall in 10 days and Ashish finishes constructing a wall in 20 days, how many days will it take to construct the wall if both work together?A finishes a work in 2 days, B finishes it in 6 days and C finishes it in 4 day. How many time will it take if they all work together?Prabal finishes painting a house in 25 hours and Pratibha finishes the same work in 30 hours. They work together for 5 hours and then Pratibha goes away. How many more days will it take for Prabal to finish the work?Riya and Tia can complete a work in 15 days, Tia and Sia can finish it in 20 days and Riya and Sia can finish it in 10 days. How long will it take if all three work together?Tap A fills the cistern in 5 hours and Tap B fills the cistern in 7 hours. The tank can be emptied by Tap C in 4 hours. If all the tap are opened simultaneously, how long will it take the empty cistern to be completely filled?If Lokesh finishes the work in 2 days and Lalita finishes the work in 5 days, how many days will it take to do the work if both work together?DO IT YOURSELFIf Tap A fills the water tank in 9 hours and Tap to fills the water tank in 3 hours, how long will it take for the water tank to be completely filled? ANSWERS WITH EXPLANATIONSNo. of days it will take for the work to be complete = 1/ (1/7) = 7 daysAmount of work done by one man in one day = 1/10Amount of work done by two men in one day = 1/10 + 1/10 = 2/10 = 1/5N one day, amount of work Kashish and Karan can finish = 1/50In one day, amount of work Kashish can alone do = 1/70In one day, amount of work Karan can alone do = (1/50 – 1/70) = 1/175Therefore, no. of days Karan will take alone to finish the work = 1/ (1/175) = 175 daysIn one day, amount of work done by Akash = 1/10In one day, amount of work done by Ashish = 1/20In one day, work done by Akash and Ashish together = [(1/10) + (1/20)] = 3/20Therefore, days taken if they work together = 20/3 = 6. 66 daysIn one day, amount of work done by A = 1/2In one day, amount of work done by B = 1/6In one day, amount of work done by C = 1/4In one day, amount of work done if they work together = [(1/2 + (1/6) + (1/4)] = 11/12Therefore days taken in finishing the work together = 12/11 = 1 day (approx.)Portion of house painted by Prabal in one hour = 1/25Portion of house painted by Parthia in one hour = 1/30Portion of house painted by them together in one hour = 1/25 + 1/30 = 11/150 Portion of house painted by them together in 5 hours = 5*(11/150) = 11/30Remaining work = 1- (11/30) = 19/30Prabal can paint the remaining house in (19/30) * 25 = 15.8 hoursOne day work of Riya and Tia = 1/15One day work of Tia and Sia = 1/20One day work of Riya and Sia = 1/102 (Riya + Tia + Sia)’s one day work = (1/15) + (1/20) + (1/10) = 13/60(Riya + Tia + Sia)’s one day work = 13/120Together, they can finish the work = 120/13 = 9. 23 daysTap A fills 1/5 of the tank in one hour.Tap B fills 1/7 of the tank in one hour.Tap C empties 1/4 of the tank in one hour. Thus, in 1 hour [(1/5) + (1/7) – (1/4)] th i.e. 13/140 of the tank is filled.If all the three taps are opened together, the time taken to fill the tank = 140/13 = 10.76 Hours In one day, amount of work done by Lokesh = 1/2In one day, amount of work done by Lalita = 1/5In one day, work done by Lokesh and Lalita together = [(1/2) + (1/5)] = 7/10Therefore, days taken if they work together = 10/7 = 1.4 days (function( $ ) {
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});
function convert2number(str) {
str = str.trim();
if (str.match(/^\d+/)) {
//we have to take special care when the thousand separators are '.'
var result_0 = str.replace(/\./g, '_@_');
var result_1 = result_0.replace(window.numFormat[0], '.');
var result = result_1.replace(/_@_/g, '');
result .replace(/ /g, '');
return result;
} else {
return str;
}
}
}(jQuery));
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Aditya Anand
Contributing author
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